Self-consistent Coulomb picture of an electron-electron bilayer system

TL;DR

This paper models an electron-electron bilayer system using a self-consistent Thomas-Fermi approach, revealing how incompressible strips influence screening, magneto-transport, and hysteresis phenomena under various conditions.

Contribution

It introduces a combined self-consistent Thomas-Fermi and local conductivity model to analyze the impact of incompressible strips on screening and magneto-transport in bilayer systems.

Findings

Incompressible strips significantly affect screening and magneto-resistance.

Temperature, inter-layer distance, and density mismatch alter density and potential fluctuations.

Observed magneto-resistance hysteresis is explained by the model.

Abstract

In this work we implement the self-consistent Thomas-Fermi approach and a local conductivity model to an electron-electron bilayer system. The presence of an incompressible strip, originating from screening calculations at the top (or bottom) layer is considered as a source of an external potential fluctuation to the bottom (or top) layer. This essentially yields modifications to both screening properties and the magneto-transport quantities. The effect of the temperature, inter-layer distance and density mismatch on the density and the potential fluctuations are investigated. It is observed that the existence of the incompressible strips plays an important role simply due to their poor screening properties on both screening and the magneto-resistance (MR) properties. Here we also report and interpret the observed MR Hysteresis within our model.